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Finding the Fourth Proportional to 674.10, 1,010.83 and 262.96

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Solution

The fourth proportional to 674.10, 1,010.83 and 262.96 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 1,010.83 = 262.96 : x
  2. Step 2: Convert to fraction form
    674.10/1,010.83 = 262.96/x
  3. Step 3: Cross multiply
    674.10x = 1,010.83 × 262.96
  4. Step 4: Simplify right side
    674.10x = 265,807.86
  5. Step 5: Solve for x
    x = 265,807.86/674.10
  6. Step 6: Final answer
    x = 394.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.